Remark 4.2 Let \(M \xrightarrow{} A\)  be a relative Rota-Baxter algebra and consider it as a adjoint bimodule over itself (Example REF ). Then the cochain complex \(\lbrace  C^\bullet ( M \xrightarrow{} A ; M \xrightarrow{} A), \delta _\mathrm {rRB} \rbrace \)  coincides with the complex \(\lbrace  C^\bullet (A, M, R), \mathcal {D} \rbrace \)  given in [1]}. Hence the corresponding cohomology groups are the same.

